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Finding the Fourth Proportional to 1,149.52, 1,586.16 and 775.92

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Solution

The fourth proportional to 1,149.52, 1,586.16 and 775.92 is: 1,070.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.52 : 1,586.16 = 775.92 : x
  2. Step 2: Convert to fraction form
    1,149.52/1,586.16 = 775.92/x
  3. Step 3: Cross multiply
    1,149.52x = 1,586.16 × 775.92
  4. Step 4: Simplify right side
    1,149.52x = 1,230,733.27
  5. Step 5: Solve for x
    x = 1,230,733.27/1,149.52
  6. Step 6: Final answer
    x = 1,070.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.